40020440016000 has 256 divisors, whose sum is σ = 136947368862720. Its totient is φ = 10327855104000.

The previous prime is 40020440015987. The next prime is 40020440016019. The reversal of 40020440016000 is 61004402004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11959729 + ... + 14935728.

It is an arithmetic number, because the mean of its divisors is an integer number (534950659620).

Almost surely, 2^{40020440016000} is an apocalyptic number.

40020440016000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40020440016000 is an abundant number, since it is smaller than the sum of its proper divisors (96926928846720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40020440016000 is a wasteful number, since it uses less digits than its factorization.

40020440016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26895520 (or 26895498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40020440016000 its reverse (61004402004), we get a palindrome (40081444418004).

The spelling of 40020440016000 in words is "forty trillion, twenty billion, four hundred forty million, sixteen thousand".